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Section 1: Modeling with Differential EquationsStudenteProfessor Ch. 7 Sec. 1Modeling with Differential Equations (App)Connect2Calculus Videos Ch. 7 Sec. 1Section 2: Separable Differential Equations StudenteProfessor Ch. 7 Sec. 2IVP with Implicit Solution (App)Connect2Calculus Videos Ch. 7 Sec. 2Section 3: Direction Fields and Euler's Method StudenteProfessor Ch. 7 Sec. 3Direction Fields and Euler's Method (App)Connect2Calculus Videos Ch. 7 Sec. 3Section 4: Systems of First Order Differential Equations StudenteProfessor Ch. 7 Sec. 4Systems of First Order Differentiable Equations (App)
Section 1: Sequences of Real Numbers StudenteProfessor Ch. 8 Sec. 1Finding the Limit of a Sequence (App)Connect2Calculus Videos Ch. 8 Sec. 1Section 2: Infinite Series StudenteProfessor Ch. 8 Sec. 2Geometric Series (App)Connect2Calculus Videos Ch. 8 Sec. 2Section 3: The Integral Test and Comparison Tests StudenteProfessor Ch. 8 Sec. 3Using the Integral Test (App)Section 4: Alternating Series StudenteProfessor Ch. 8 Sec. 4Convergence of the Partial Sums of an Alternating Series (App)Section 5: Absolute Convergence and the Ratio Test StudenteProfessor Ch. 8 Sec. 5Using the Ratio Test (App)Section 6: Power Series StudenteProfessor Ch. 8 Sec. 6Half-Open Interval of Convergence (App)Section 7: Taylor Series StudenteProfessor Ch. 8 Sec. 7Graphing Taylor Polynomials (App)A Taylor Series Expansion of sin x (App)Connect2Calculus Videos Ch. 8 Sec. 7Section 8: Applications of Taylor Series StudenteProfessor Ch. 8 Sec. 8Using Taylor Series to Approximate a Definite Integral (App)Section 9: Fourier Series StudenteProfessor Ch. 8 Sec. 9Fourier Series (App)
Section 1: Plane Curves and Parametric Equations StudenteProfessor Ch. 9 Sec. 1The Path of a Projectile (App)Connect2Calculus Videos Ch. 9 Sec. 1Section 2: Calculus and Parametric Equations StudenteProfessor Ch. 9 Sec. 2The Path of the Scrambler (App)Connect2Calculus Videos Ch. 9 Sec. 2Section 3: Arc Length and Surface Area in Parametric Equations StudenteProfessor Ch. 9 Sec. 3Skiing Curved Path vs Straight Line (App)Connect2Calculus Videos Ch. 9 Sec. 3Section 4: Polar Coordinates StudenteProfessor Ch. 9 Sec. 4Converting an Equation from Rectangular to Polar Coordinates (App)Connect2Calculus Videos Ch. 9 Sec. 4Section 5: Calculus and Polar Coordinates StudenteProfessor Ch. 9 Sec. 5Finding the Area Between Two Polar Graphs (App)Connect2Calculus Videos Ch. 10 Sec. 4Section 6: Conic Sections StudenteProfessor Ch. 9 Sec. 6Identifying the Features of an Ellipse (App)Section 7: Conic Sections in Polar Coordinates StudenteProfessor Ch. 9 Sec. 7Focus and Directrix (App)
Section 1: Vectors in the Plane StudenteProfessor Ch. 10 Sec. 1Finding a Position Vector (App)Connect2Calculus Videos Ch. 10 Sec. 1Section 2: Vectors in Space StudenteProfessor Ch. 10 Sec. 2Vectors in Space (App)Section 3: The Dot Product StudenteProfessor Ch. 10 Sec. 3Calculating Work (App)Connect2Calculus Videos Ch. 10 Sec. 3Section 4: The Cross Product StudenteProfessor Ch. 10 Sec. 4Finding the Distance from a Point to a Line (App)Connect2Calculus Videos Ch. 10 Sec. 4Section 5: Lines and Planes in Space StudenteProfessor Ch. 10 Sec. 5Equation of a Plane (App)Section 6: Surfaces in Space StudenteProfessor Ch. 10 Sec. 6Sketching a Paraboloid (App)Sketching an Elliptic Cone (App)
Section 1: Vector-Valued Functions StudenteProfessor Ch. 11 Sec. 1Sketching the Curve Defined by a Vector-Valued Function (App)Connect2Calculus Videos Ch. 11 Sec. 1Section 2: The Calculus of Vector-Valued Functions StudenteProfessor Ch. 11 Sec. 2The Calculus of Vector-Valued Functions (App)Section 3: Motion in Space StudenteProfessor Ch. 11 Sec. 3Finding the Velocity and Acceleration Vectors (App)Connect2Calculus Videos Ch. 11 Sec. 3Section 4: CurvatureStudenteProfessor Ch. 11 Sec. 4Finding a Unit Tangent Vector (App)Connect2Calculus Videos Ch. 11 Sec. 4Section 5: Tangent and Normal Vectors StudenteProfessor Ch. 11 Sec. 5Tangent and Normal Vectors (App)Section 6: Parametric Surfaces StudenteProfessor Ch. 11 Sec. 6Parametric Surfaces (App)
Section 1: Functions of Several Variables StudenteProfessor Ch. 12 Sec. 1Sketching Contour Plots (App)Section 2: Limits and Continuity StudenteProfessor Ch. 12 Sec. 2The Definition of a Limit (App)Section 3: Partial Derivatives StudenteProfessor Ch. 12 Sec. 3Partial Derivatives (App)Section 4: Tangent Planes and Linear Approximations StudenteProfessor Ch. 12 Sec. 4Tangent Planes and Linear Approximations (App)Connect2Calculus Videos Ch. 12 Sec. 4Section 5: The Chain Rule StudenteProfessor Ch. 12 Sec. 5The Chain Rule (App)Connect2Calculus Videos Ch. 12 Sec. 5Section 6: The Gradient and Directional Derivatives StudenteProfessor Ch. 12 Sec. 6Finding the Direction of Maximum Increase (App)Connect2Calculus Videos Ch. 12 Sec. 6Section 7: Extrema of Functions of Several Variables StudenteProfessor Ch. 12 Sec. 7Extrema and Functions of Several Variables (App)Connect2Calculus Videos Ch. 12 Sec. 7Section 8: Constrained Optimization and Lagrange Multipliers StudenteProfessor Ch. 12 Sec. 8Finding the Minimum Distance (App)Connect2Calculus Videos Ch. 12 Sec. 8
Section 1: Double Integrals StudenteProfessor Ch. 13 Sec. 1Approximate Limits of Integration (App)Section 2: Area, Volume, and Center of Mass StudenteProfessor Ch. 13 Sec. 2Area, Volume and Center of Mass (App)Connect2Calculus Videos Ch. 13 Sec. 2Section 3: Double Integrals in Polar Coordinates StudenteProfessor Ch. 13 Sec. 3Double Integrals in Polar Coordinates (App)Section 4: Surface IntegralsStudenteProfessor Ch. 13 Sec. 4Surface Area (App)Section 5: Triple Integrals StudenteProfessor Ch. 13 Sec. 5Triple Integrals (App)Connect2Calculus Videos Ch. 13 Sec. 5Section 6: Cylindrical Coordinates StudenteProfessor Ch. 13 Sec. 6Cylindrical Coordinates (App)Section 7: Spherical Coordinates StudenteProfessor Ch. 13 Sec. 7Spherical Coordinates (App)Section 8: Change of Variables in Multiple Integrals StudenteProfessor Ch. 13 Sec. 8Change of Variables in Multiple Integrals (App)Connect2Calculus Videos Ch. 13 Sec. 8
Section 1: Vector Fields StudenteProfessor Ch. 14 Sec. 1Vector Fields (App)Connect2Calculus Videos Ch. 14 Sec. 1Section 2: Line Integrals StudenteProfessor Ch. 14 Sec. 2Line Integrals (App)Connect2Calculus Videos Ch. 14 Sec. 2Section 3: Independence of Path and Conservative Vector Fields StudenteProfessor Ch. 14 Sec. 3Independence of Path and Conservative Vector Fields (App)Connect2Calculus Videos Ch. 14 Sec. 3Section 4: Green's Theorem StudenteProfessor Ch. 14 Sec. 4Green's Theorem (App)Connect2Calculus Videos Ch. 14 Sec. 4Section 5: Curl and Divergence StudenteProfessor Ch. 14 Sec. 5Curl and Divergence (App)Connect2Calculus Videos Ch. 14 Sec. 5Section 6: Surface Integrals StudenteProfessor Ch. 14 Sec. 6Surface Integrals (App)Connect2Calculus Videos Ch. 14 Sec. 6Section 7: The Divergence Theorem StudenteProfessor Ch. 14 Sec. 7The Divergence Theorem (App)Connect2Calculus Videos Ch. 14 Sec. 7Section 8: Stokes' Theorem StudenteProfessor Ch. 14 Sec. 8Stokes' Theorem (App)Connect2Calculus Videos Ch. 14 Sec. 8Section 9: Applications of Vector Calculus StudenteProfessor Ch. 14 Sec. 9Applications of Vector Calculus (App)
Section 1: Second-Order Equations with Constant Coefficients StudenteProfessor Ch. 15 Sec. 1Second Order Differential Equations (App)Section 2: Nonhomogeneous Equations: Undetermined Coefficients StudenteProfessor Ch. 15 Sec. 2Nonhomogeneous Equations: Undetermined Coefficients (App)Section 3: Applications of Second Order Equations StudenteProfessor Ch. 15 Sec. 3Applications of Second Order Equations (App)Section 4: Power Series Solutions of Differential Equations StudenteProfessor Ch. 15 Sec. 4Power Series Solution to a Differential Equation (App)
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